Jack Lothian
MM club member
Registered: 1999-10-22
Posts: 1169
Loc: Ottawa,Ontario, Canada
|
Madruga,
I wrote an algorithm that uses integer math to get the solutions & it get different results from your analysis. I get 466 solution sets not 465 & it seems 6 of the 7 parenthesis types are necessary to derive all the solutions. {The only type not necessary is a (b c) d)}
I made a few modifications & I am rerunning the test. I will let you know the results. My first pass suggests this is the complete solution set.
code:
In => 0, 0, 0, 0; Out =>
In => 0, 0, 0, 1; Out =>
In => 0, 0, 0, 2; Out =>
In => 0, 0, 0, 3; Out =>
In => 0, 0, 0, 4; Out =>
In => 0, 0, 0, 5; Out =>
In => 0, 0, 0, 6; Out =>
In => 0, 0, 0, 7; Out =>
In => 0, 0, 0, 8; Out =>
In => 0, 0, 0, 9; Out =>
In => 0, 0, 1, 1; Out =>
In => 0, 0, 1, 2; Out =>
In => 0, 0, 1, 3; Out =>
In => 0, 0, 1, 4; Out =>
In => 0, 0, 1, 5; Out =>
In => 0, 0, 1, 6; Out =>
In => 0, 0, 1, 7; Out =>
In => 0, 0, 1, 8; Out =>
In => 0, 0, 1, 9; Out =>
In => 0, 0, 2, 2; Out =>
In => 0, 0, 2, 3; Out =>
In => 0, 0, 2, 4; Out =>
In => 0, 0, 2, 5; Out =>
In => 0, 0, 2, 6; Out =>
In => 0, 0, 2, 7; Out =>
In => 0, 0, 2, 8; Out =>
In => 0, 0, 2, 9; Out =>
In => 0, 0, 3, 3; Out =>
In => 0, 0, 3, 4; Out =>
In => 0, 0, 3, 5; Out =>
In => 0, 0, 3, 6; Out =>
In => 0, 0, 3, 7; Out =>
In => 0, 0, 3, 8; Out => 0 + 0 + 3 * 8
In => 0, 0, 3, 9; Out =>
In => 0, 0, 4, 4; Out =>
In => 0, 0, 4, 5; Out =>
In => 0, 0, 4, 6; Out => 0 + 0 + 4 * 6
In => 0, 0, 4, 7; Out =>
In => 0, 0, 4, 8; Out =>
In => 0, 0, 4, 9; Out =>
In => 0, 0, 5, 5; Out =>
In => 0, 0, 5, 6; Out =>
In => 0, 0, 5, 7; Out =>
In => 0, 0, 5, 8; Out =>
In => 0, 0, 5, 9; Out =>
In => 0, 0, 6, 6; Out =>
In => 0, 0, 6, 7; Out =>
In => 0, 0, 6, 8; Out =>
In => 0, 0, 6, 9; Out =>
In => 0, 0, 7, 7; Out =>
In => 0, 0, 7, 8; Out =>
In => 0, 0, 7, 9; Out =>
In => 0, 0, 8, 8; Out =>
In => 0, 0, 8, 9; Out =>
In => 0, 0, 9, 9; Out =>
In => 0, 1, 1, 1; Out =>
In => 0, 1, 1, 2; Out =>
In => 0, 1, 1, 3; Out =>
In => 0, 1, 1, 4; Out =>
In => 0, 1, 1, 5; Out =>
In => 0, 1, 1, 6; Out =>
In => 0, 1, 1, 7; Out =>
In => 0, 1, 1, 8; Out =>
In => 0, 1, 1, 9; Out =>
In => 0, 1, 2, 2; Out =>
In => 0, 1, 2, 3; Out =>
In => 0, 1, 2, 4; Out =>
In => 0, 1, 2, 5; Out =>
In => 0, 1, 2, 6; Out =>
In => 0, 1, 2, 7; Out =>
In => 0, 1, 2, 8; Out => ( 0 + 1 + 2 ) * 8
In => 0, 1, 2, 9; Out =>
In => 0, 1, 3, 3; Out =>
In => 0, 1, 3, 4; Out =>
In => 0, 1, 3, 5; Out =>
In => 0, 1, 3, 6; Out => ( 0 + 1 + 3 ) * 6
In => 0, 1, 3, 7; Out => ( 0 + 1 + 7 ) * 3
In => 0, 1, 3, 8; Out => 0 + 1 * 3 * 8
In => 0, 1, 3, 9; Out => ( 0 - 1 + 9 ) * 3
In => 0, 1, 4, 4; Out =>
In => 0, 1, 4, 5; Out => ( 0 + 1 + 5 ) * 4
In => 0, 1, 4, 6; Out => 0 + 1 * 4 * 6
In => 0, 1, 4, 7; Out => ( 0 - 1 + 7 ) * 4
In => 0, 1, 4, 8; Out => ( 0 - 1 + 4 ) * 8
In => 0, 1, 4, 9; Out =>
In => 0, 1, 5, 5; Out => 0 - 1 + 5 * 5
In => 0, 1, 5, 6; Out => ( 0 - 1 + 5 ) * 6
In => 0, 1, 5, 7; Out =>
In => 0, 1, 5, 8; Out =>
In => 0, 1, 5, 9; Out =>
In => 0, 1, 6, 6; Out =>
In => 0, 1, 6, 7; Out =>
In => 0, 1, 6, 8; Out =>
In => 0, 1, 6, 9; Out =>
In => 0, 1, 7, 7; Out =>
In => 0, 1, 7, 8; Out =>
In => 0, 1, 7, 9; Out =>
In => 0, 1, 8, 8; Out =>
In => 0, 1, 8, 9; Out =>
In => 0, 1, 9, 9; Out =>
In => 0, 2, 2, 2; Out =>
In => 0, 2, 2, 3; Out =>
In => 0, 2, 2, 4; Out =>
In => 0, 2, 2, 5; Out =>
In => 0, 2, 2, 6; Out => 0 + 2 * 2 * 6
In => 0, 2, 2, 7; Out =>
In => 0, 2, 2, 8; Out =>
In => 0, 2, 2, 9; Out =>
In => 0, 2, 3, 3; Out =>
In => 0, 2, 3, 4; Out => 0 + 2 * 3 * 4
In => 0, 2, 3, 5; Out =>
In => 0, 2, 3, 6; Out => ( 0 + 2 + 6 ) * 3
In => 0, 2, 3, 7; Out =>
In => 0, 2, 3, 8; Out => 0 / 2 + 3 * 8
In => 0, 2, 3, 9; Out => ( 0 + 3 + 9 ) * 2
In => 0, 2, 4, 4; Out => ( 0 + 2 + 4 ) * 4
In => 0, 2, 4, 5; Out =>
In => 0, 2, 4, 6; Out => 0 / 2 + 4 * 6
In => 0, 2, 4, 7; Out =>
In => 0, 2, 4, 8; Out => ( 0 - 2 + 8 ) * 4
In => 0, 2, 4, 9; Out =>
In => 0, 2, 5, 5; Out =>
In => 0, 2, 5, 6; Out =>
In => 0, 2, 5, 7; Out => ( 0 + 5 + 7 ) * 2
In => 0, 2, 5, 8; Out => ( 0 - 2 + 5 ) * 8
In => 0, 2, 5, 9; Out =>
In => 0, 2, 6, 6; Out => ( 0 - 2 + 6 ) * 6
In => 0, 2, 6, 7; Out =>
In => 0, 2, 6, 8; Out => 0 + 6 * 8 / 2
In => 0, 2, 6, 9; Out => 0 + 2 * 9 + 6
In => 0, 2, 7, 7; Out =>
In => 0, 2, 7, 8; Out =>
In => 0, 2, 7, 9; Out =>
In => 0, 2, 8, 8; Out => 0 + 2 * 8 + 8
In => 0, 2, 8, 9; Out =>
In => 0, 2, 9, 9; Out =>
In => 0, 3, 3, 3; Out =>
In => 0, 3, 3, 4; Out => ( 0 + 3 + 3 ) * 4
In => 0, 3, 3, 5; Out => ( 0 + 3 + 5 ) * 3
In => 0, 3, 3, 6; Out =>
In => 0, 3, 3, 7; Out => 0 + 3 + 3 * 7
In => 0, 3, 3, 8; Out => 0 / 3 + 3 * 8
In => 0, 3, 3, 9; Out => 0 - 3 + 3 * 9
In => 0, 3, 4, 4; Out => ( 0 + 4 + 4 ) * 3
In => 0, 3, 4, 5; Out =>
In => 0, 3, 4, 6; Out => 0 / 3 + 4 * 6
In => 0, 3, 4, 7; Out =>
In => 0, 3, 4, 8; Out => 0 / 4 + 8 * 3
In => 0, 3, 4, 9; Out => ( 0 - 3 + 9 ) * 4
In => 0, 3, 5, 5; Out =>
In => 0, 3, 5, 6; Out =>
In => 0, 3, 5, 7; Out =>
In => 0, 3, 5, 8; Out => 0 / 5 + 8 * 3
In => 0, 3, 5, 9; Out => 0 + 3 * 5 + 9
In => 0, 3, 6, 6; Out => 0 + 3 * 6 + 6
In => 0, 3, 6, 7; Out => ( 0 - 3 + 7 ) * 6
In => 0, 3, 6, 8; Out => 0 / 6 + 8 * 3
In => 0, 3, 6, 9; Out =>
In => 0, 3, 7, 7; Out =>
In => 0, 3, 7, 8; Out => 0 / 7 + 8 * 3
In => 0, 3, 7, 9; Out =>
In => 0, 3, 8, 8; Out => 0 / 8 + 8 * 3
In => 0, 3, 8, 9; Out => 0 + 8 * 9 / 3
In => 0, 3, 9, 9; Out =>
In => 0, 4, 4, 4; Out =>
In => 0, 4, 4, 5; Out => 0 + 4 + 4 * 5
In => 0, 4, 4, 6; Out => 0 / 4 + 4 * 6
In => 0, 4, 4, 7; Out => 0 - 4 + 4 * 7
In => 0, 4, 4, 8; Out => 0 + 4 * 4 + 8
In => 0, 4, 4, 9; Out =>
In => 0, 4, 5, 5; Out =>
In => 0, 4, 5, 6; Out => 0 / 5 + 6 * 4
In => 0, 4, 5, 7; Out =>
In => 0, 4, 5, 8; Out =>
In => 0, 4, 5, 9; Out =>
In => 0, 4, 6, 6; Out => 0 / 6 + 6 * 4
In => 0, 4, 6, 7; Out => 0 / 7 + 4 * 6
In => 0, 4, 6, 8; Out => 0 / 8 + 4 * 6
In => 0, 4, 6, 9; Out => 0 / 9 + 4 * 6
In => 0, 4, 7, 7; Out =>
In => 0, 4, 7, 8; Out => ( 0 - 4 + 7 ) * 8
In => 0, 4, 7, 9; Out =>
In => 0, 4, 8, 8; Out => 0 + 4 * 8 - 8
In => 0, 4, 8, 9; Out =>
In => 0, 4, 9, 9; Out =>
In => 0, 5, 5, 5; Out =>
In => 0, 5, 5, 6; Out =>
In => 0, 5, 5, 7; Out =>
In => 0, 5, 5, 8; Out =>
In => 0, 5, 5, 9; Out =>
In => 0, 5, 6, 6; Out => 0 + 5 * 6 - 6
In => 0, 5, 6, 7; Out =>
In => 0, 5, 6, 8; Out =>
In => 0, 5, 6, 9; Out => ( 0 - 5 + 9 ) * 6
In => 0, 5, 7, 7; Out =>
In => 0, 5, 7, 8; Out =>
In => 0, 5, 7, 9; Out =>
In => 0, 5, 8, 8; Out => ( 0 - 5 + 8 ) * 8
In => 0, 5, 8, 9; Out =>
In => 0, 5, 9, 9; Out =>
In => 0, 6, 6, 6; Out =>
In => 0, 6, 6, 7; Out =>
In => 0, 6, 6, 8; Out =>
In => 0, 6, 6, 9; Out =>
In => 0, 6, 7, 7; Out =>
In => 0, 6, 7, 8; Out =>
In => 0, 6, 7, 9; Out =>
In => 0, 6, 8, 8; Out =>
In => 0, 6, 8, 9; Out => ( 0 - 6 + 9 ) * 8
In => 0, 6, 9, 9; Out => 0 + 6 + 9 + 9
In => 0, 7, 7, 7; Out =>
In => 0, 7, 7, 8; Out =>
In => 0, 7, 7, 9; Out =>
In => 0, 7, 8, 8; Out =>
In => 0, 7, 8, 9; Out => 0 + 7 + 8 + 9
In => 0, 7, 9, 9; Out =>
In => 0, 8, 8, 8; Out => 0 + 8 + 8 + 8
In => 0, 8, 8, 9; Out =>
In => 0, 8, 9, 9; Out =>
In => 0, 9, 9, 9; Out =>
In => 1, 1, 1, 1; Out =>
In => 1, 1, 1, 2; Out =>
In => 1, 1, 1, 3; Out =>
In => 1, 1, 1, 4; Out =>
In => 1, 1, 1, 5; Out =>
In => 1, 1, 1, 6; Out =>
In => 1, 1, 1, 7; Out =>
In => 1, 1, 1, 8; Out => ( 1 + 1 + 1 ) * 8
In => 1, 1, 1, 9; Out =>
In => 1, 1, 2, 2; Out =>
In => 1, 1, 2, 3; Out =>
In => 1, 1, 2, 4; Out =>
In => 1, 1, 2, 5; Out =>
In => 1, 1, 2, 6; Out => ( 1 + 1 + 2 ) * 6
In => 1, 1, 2, 7; Out => ( 1 + 2 ) * ( 7 + 1 )
In => 1, 1, 2, 8; Out => ( 1 + 1 * 2 ) * 8
In => 1, 1, 2, 9; Out => ( 1 + 2 ) * ( 9 - 1 )
In => 1, 1, 3, 3; Out =>
In => 1, 1, 3, 4; Out => 3 * 4 * ( 1 + 1 )
In => 1, 1, 3, 5; Out => ( 1 + 3 ) * ( 5 + 1 )
In => 1, 1, 3, 6; Out => ( 1 + 1 * 3 ) * 6
In => 1, 1, 3, 7; Out => ( 1 + 1 * 7 ) * 3
In => 1, 1, 3, 8; Out => 1 - 1 + 3 * 8
In => 1, 1, 3, 9; Out => ( 1 * 9 - 1 ) * 3
In => 1, 1, 4, 4; Out => ( 1 + 1 + 4 ) * 4
In => 1, 1, 4, 5; Out => ( 1 + 1 * 5 ) * 4
In => 1, 1, 4, 6; Out => 1 - 1 + 4 * 6
In => 1, 1, 4, 7; Out => ( 1 * 7 - 1 ) * 4
In => 1, 1, 4, 8; Out => ( 1 * 4 - 1 ) * 8
In => 1, 1, 4, 9; Out => ( 1 - 4 ) * ( 1 - 9 )
In => 1, 1, 5, 5; Out => 1 * 5 * 5 - 1
In => 1, 1, 5, 6; Out => ( 1 * 5 - 1 ) * 6
In => 1, 1, 5, 7; Out => ( 1 + 1 ) * ( 5 + 7 )
In => 1, 1, 5, 8; Out => ( 5 - 1 - 1 ) * 8
In => 1, 1, 5, 9; Out =>
In => 1, 1, 6, 6; Out => ( 6 - 1 - 1 ) * 6
In => 1, 1, 6, 7; Out =>
In => 1, 1, 6, 8; Out => 6 * 8 / ( 1 + 1 )
In => 1, 1, 6, 9; Out => 6 + 9 * ( 1 + 1 )
In => 1, 1, 7, 7; Out =>
In => 1, 1, 7, 8; Out =>
In => 1, 1, 7, 9; Out =>
In => 1, 1, 8, 8; Out => 8 + 8 * ( 1 + 1 )
In => 1, 1, 8, 9; Out =>
In => 1, 1, 9, 9; Out =>
In => 1, 2, 2, 2; Out =>
In => 1, 2, 2, 3; Out =>
In => 1, 2, 2, 4; Out => 2 * 4 * ( 1 + 2 )
In => 1, 2, 2, 5; Out => 2 * 2 * ( 5 + 1 )
In => 1, 2, 2, 6; Out => 1 * 2 * 2 * 6
In => 1, 2, 2, 7; Out => 2 * 2 * ( 7 - 1 )
In => 1, 2, 2, 8; Out => ( 2 + 2 - 1 ) * 8
In => 1, 2, 2, 9; Out => ( 1 + 2 + 9 ) * 2
In => 1, 2, 3, 3; Out => 2 * 3 * ( 3 + 1 )
In => 1, 2, 3, 4; Out => 1 * 2 * 3 * 4
In => 1, 2, 3, 5; Out => ( 1 + 2 + 5 ) * 3
In => 1, 2, 3, 6; Out => ( 1 * 2 + 6 ) * 3
In => 1, 2, 3, 7; Out => 1 + 2 + 3 * 7
In => 1, 2, 3, 8; Out => ( 1 + 3 + 8 ) * 2
In => 1, 2, 3, 9; Out => 3 * 9 - 1 - 2
In => 1, 2, 4, 4; Out => ( 1 * 2 + 4 ) * 4
In => 1, 2, 4, 5; Out => ( 2 + 5 - 1 ) * 4
In => 1, 2, 4, 6; Out => 4 * 6 / ( 2 - 1 )
In => 1, 2, 4, 7; Out => ( 1 - 2 + 7 ) * 4
In => 1, 2, 4, 8; Out => ( 1 - 2 + 4 ) * 8
In => 1, 2, 4, 9; Out => ( 4 + 9 - 1 ) * 2
In => 1, 2, 5, 5; Out => 1 - 2 + 5 * 5
In => 1, 2, 5, 6; Out => ( 1 - 2 + 5 ) * 6
In => 1, 2, 5, 7; Out => ( 1 * 5 + 7 ) * 2
In => 1, 2, 5, 8; Out => ( 1 * 5 - 2 ) * 8
In => 1, 2, 5, 9; Out => 1 + 2 * 9 + 5
In => 1, 2, 6, 6; Out => ( 1 * 6 + 6 ) * 2
In => 1, 2, 6, 7; Out => ( 6 + 7 - 1 ) * 2
In => 1, 2, 6, 8; Out => 1 / 2 * 6 * 8
In => 1, 2, 6, 9; Out => 1 * 2 * 9 + 6
In => 1, 2, 7, 7; Out => ( 7 * 7 - 1 ) / 2
In => 1, 2, 7, 8; Out => 1 + 2 * 8 + 7
In => 1, 2, 7, 9; Out => 1 + 2 * 7 + 9
In => 1, 2, 8, 8; Out => 1 * 2 * 8 + 8
In => 1, 2, 8, 9; Out => 2 * 8 + 9 - 1
In => 1, 2, 9, 9; Out =>
In => 1, 3, 3, 3; Out => ( 3 * 3 - 1 ) * 3
In => 1, 3, 3, 4; Out => ( 1 * 3 + 3 ) * 4
In => 1, 3, 3, 5; Out => ( 1 * 3 + 5 ) * 3
In => 1, 3, 3, 6; Out => ( 3 + 6 - 1 ) * 3
In => 1, 3, 3, 7; Out => 1 * 3 + 3 * 7
In => 1, 3, 3, 8; Out => 3 + 3 * ( 8 - 1 )
In => 1, 3, 3, 9; Out => 1 * 3 * 9 - 3
In => 1, 3, 4, 4; Out => ( 1 * 4 + 4 ) * 3
In => 1, 3, 4, 5; Out => 1 + 3 + 4 * 5
In => 1, 3, 4, 6; Out => 6 / ( 1 - 3 / 4 )
In => 1, 3, 4, 7; Out => 3 * 7 - 1 + 4
In => 1, 3, 4, 8; Out => ( 1 - 3 + 8 ) * 4
In => 1, 3, 4, 9; Out => 1 + 3 * 9 - 4
In => 1, 3, 5, 5; Out =>
In => 1, 3, 5, 6; Out => 1 + 3 * 6 + 5
In => 1, 3, 5, 7; Out => ( 1 + 5 ) * ( 7 - 3 )
In => 1, 3, 5, 8; Out => 1 + 3 * 5 + 8
In => 1, 3, 5, 9; Out => 1 * 3 * 5 + 9
In => 1, 3, 6, 6; Out => 1 * 3 * 6 + 6
In => 1, 3, 6, 7; Out => 3 * 6 + 7 - 1
In => 1, 3, 6, 8; Out => ( 1 + 6 / 3 ) * 8
In => 1, 3, 6, 9; Out => ( 1 + 9 / 3 ) * 6
In => 1, 3, 7, 7; Out => ( 1 - 7 ) * ( 3 - 7 )
In => 1, 3, 7, 8; Out => ( 7 - 1 - 3 ) * 8
In => 1, 3, 7, 9; Out => 9 / 3 * ( 1 + 7 )
In => 1, 3, 8, 8; Out => 8 - 8 * ( 1 - 3 )
In => 1, 3, 8, 9; Out => 1 / 3 * 8 * 9
In => 1, 3, 9, 9; Out => 9 / 3 * ( 9 - 1 )
In => 1, 4, 4, 4; Out => 4 + 4 * ( 4 + 1 )
In => 1, 4, 4, 5; Out => 1 * 4 + 4 * 5
In => 1, 4, 4, 6; Out => 4 + 4 * ( 6 - 1 )
In => 1, 4, 4, 7; Out => 1 + 4 * 4 + 7
In => 1, 4, 4, 8; Out => 1 * 4 * 4 + 8
In => 1, 4, 4, 9; Out => 4 * 4 + 9 - 1
In => 1, 4, 5, 5; Out => 4 * 5 + 5 - 1
In => 1, 4, 5, 6; Out => 4 / ( 1 - 5 / 6 )
In => 1, 4, 5, 7; Out => 1 + 4 * 7 - 5
In => 1, 4, 5, 8; Out => 8 - 4 * ( 1 - 5 )
In => 1, 4, 5, 9; Out => 9 - 5 * ( 1 - 4 )
In => 1, 4, 6, 6; Out => 6 - 6 * ( 1 - 4 )
In => 1, 4, 6, 7; Out => ( 1 - 4 + 7 ) * 6
In => 1, 4, 6, 8; Out => ( 1 - 4 + 6 ) * 8
In => 1, 4, 6, 9; Out => ( 9 - 1 - 4 ) * 6
In => 1, 4, 7, 7; Out => ( 1 + 7 ) * ( 7 - 4 )
In => 1, 4, 7, 8; Out => 4 * 8 - 1 - 7
In => 1, 4, 7, 9; Out => ( 1 - 9 ) * ( 4 - 7 )
In => 1, 4, 8, 8; Out => 1 * 4 * 8 - 8
In => 1, 4, 8, 9; Out => 1 + 4 * 8 - 9
In => 1, 4, 9, 9; Out =>
In => 1, 5, 5, 5; Out => ( 5 - 1 / 5 ) * 5
In => 1, 5, 5, 6; Out => 5 * 6 - 1 - 5
In => 1, 5, 5, 7; Out =>
In => 1, 5, 5, 8; Out =>
In => 1, 5, 5, 9; Out => ( 1 + 5 ) * ( 9 - 5 )
In => 1, 5, 6, 6; Out => 1 * 5 * 6 - 6
In => 1, 5, 6, 7; Out => 1 + 5 * 6 - 7
In => 1, 5, 6, 8; Out => ( 1 - 5 + 8 ) * 6
In => 1, 5, 6, 9; Out => ( 1 * 9 - 5 ) * 6
In => 1, 5, 7, 7; Out =>
In => 1, 5, 7, 8; Out => ( 1 - 5 + 7 ) * 8
In => 1, 5, 7, 9; Out => ( 1 - 7 ) * ( 5 - 9 )
In => 1, 5, 8, 8; Out => ( 1 * 8 - 5 ) * 8
In => 1, 5, 8, 9; Out => ( 9 - 1 - 5 ) * 8
In => 1, 5, 9, 9; Out => 1 + 5 + 9 + 9
In => 1, 6, 6, 6; Out => ( 6 - 1 ) * 6 - 6
In => 1, 6, 6, 7; Out =>
In => 1, 6, 6, 8; Out => 6 / ( 1 - 6 / 8 )
In => 1, 6, 6, 9; Out => ( 1 - 6 + 9 ) * 6
In => 1, 6, 7, 7; Out =>
In => 1, 6, 7, 8; Out =>
In => 1, 6, 7, 9; Out => ( 1 + 7 ) * ( 9 - 6 )
In => 1, 6, 8, 8; Out => ( 1 - 6 + 8 ) * 8
In => 1, 6, 8, 9; Out => 1 + 6 + 8 + 9
In => 1, 6, 9, 9; Out => 1 * 6 + 9 + 9
In => 1, 7, 7, 7; Out =>
In => 1, 7, 7, 8; Out =>
In => 1, 7, 7, 9; Out => 1 + 7 + 7 + 9
In => 1, 7, 8, 8; Out => 1 + 7 + 8 + 8
In => 1, 7, 8, 9; Out => 1 * 7 + 8 + 9
In => 1, 7, 9, 9; Out => 7 + 9 + 9 - 1
In => 1, 8, 8, 8; Out => 1 * 8 + 8 + 8
In => 1, 8, 8, 9; Out => 8 + 8 + 9 - 1
In => 1, 8, 9, 9; Out =>
In => 1, 9, 9, 9; Out =>
In => 2, 2, 2, 2; Out =>
In => 2, 2, 2, 3; Out => 2 * 2 * 2 * 3
In => 2, 2, 2, 4; Out => ( 2 + 2 + 2 ) * 4
In => 2, 2, 2, 5; Out => ( 2 + 2 * 5 ) * 2
In => 2, 2, 2, 6; Out =>
In => 2, 2, 2, 7; Out => ( 2 * 7 - 2 ) * 2
In => 2, 2, 2, 8; Out => ( 2 + 2 / 2 ) * 8
In => 2, 2, 2, 9; Out => 2 + 2 * ( 2 + 9 )
In => 2, 2, 3, 3; Out => ( 2 + 2 * 3 ) * 3
In => 2, 2, 3, 4; Out => ( 2 + 2 + 4 ) * 3
In => 2, 2, 3, 5; Out => ( 2 * 5 - 2 ) * 3
In => 2, 2, 3, 6; Out => ( 2 / 2 + 3 ) * 6
In => 2, 2, 3, 7; Out => ( 2 / 2 + 7 ) * 3
In => 2, 2, 3, 8; Out => 2 - 2 + 3 * 8
In => 2, 2, 3, 9; Out => 2 * 3 + 9 * 2
In => 2, 2, 4, 4; Out => ( 2 * 4 + 4 ) * 2
In => 2, 2, 4, 5; Out => 2 + 2 + 4 * 5
In => 2, 2, 4, 6; Out => 2 - 2 + 4 * 6
In => 2, 2, 4, 7; Out => 2 * 2 * 7 - 4
In => 2, 2, 4, 8; Out => 2 * 2 * 4 + 8
In => 2, 2, 4, 9; Out => 2 + 2 * 9 + 4
In => 2, 2, 5, 5; Out => 5 * 5 - 2 / 2
In => 2, 2, 5, 6; Out => ( 5 - 2 / 2 ) * 6
In => 2, 2, 5, 7; Out => 2 * 5 + 7 * 2
In => 2, 2, 5, 8; Out => ( 5 + 8 ) * 2 - 2
In => 2, 2, 5, 9; Out => ( 5 + 9 - 2 ) * 2
In => 2, 2, 6, 6; Out => 2 * 6 + 6 * 2
In => 2, 2, 6, 7; Out => 6 + 2 * ( 2 + 7 )
In => 2, 2, 6, 8; Out => 2 + 2 * 8 + 6
In => 2, 2, 6, 9; Out => ( 2 * 9 - 6 ) * 2
In => 2, 2, 7, 7; Out => ( 7 + 7 - 2 ) * 2
In => 2, 2, 7, 8; Out => 2 + 2 * 7 + 8
In => 2, 2, 7, 9; Out =>
In => 2, 2, 8, 8; Out => 2 * 2 * 8 - 8
In => 2, 2, 8, 9; Out => 2 * 9 - 2 + 8
In => 2, 2, 9, 9; Out =>
In => 2, 3, 3, 3; Out => ( 2 + 3 + 3 ) * 3
In => 2, 3, 3, 4; Out =>
In => 2, 3, 3, 5; Out => ( 3 * 5 - 3 ) * 2
In => 2, 3, 3, 6; Out => 2 * 3 + 3 * 6
In => 2, 3, 3, 7; Out => ( 3 + 7 - 2 ) * 3
In => 2, 3, 3, 8; Out => ( 2 + 3 / 3 ) * 8
In => 2, 3, 3, 9; Out => 2 * 9 + 3 + 3
In => 2, 3, 4, 4; Out => 3 * 4 * 4 / 2
In => 2, 3, 4, 5; Out => ( 3 + 4 + 5 ) * 2
In => 2, 3, 4, 6; Out => 2 + 3 * 6 + 4
In => 2, 3, 4, 7; Out => ( 2 - 3 + 7 ) * 4
In => 2, 3, 4, 8; Out => ( 2 - 3 + 4 ) * 8
In => 2, 3, 4, 9; Out => 2 / 3 * 4 * 9
In => 2, 3, 5, 5; Out => 2 - 3 + 5 * 5
In => 2, 3, 5, 6; Out => 2 * 3 * 5 - 6
In => 2, 3, 5, 7; Out => 2 + 3 * 5 + 7
In => 2, 3, 5, 8; Out => 2 * 8 + 3 + 5
In => 2, 3, 5, 9; Out => 2 + 3 * 9 - 5
In => 2, 3, 6, 6; Out => 2 / 3 * 6 * 6
In => 2, 3, 6, 7; Out => 3 + 6 * 7 / 2
In => 2, 3, 6, 8; Out => 3 * 6 + 8 - 2
In => 2, 3, 6, 9; Out => 2 * 6 + 9 + 3
In => 2, 3, 7, 7; Out => 2 * 7 + 7 + 3
In => 2, 3, 7, 8; Out => ( 7 + 8 - 3 ) * 2
In => 2, 3, 7, 9; Out => ( 3 * 7 - 9 ) * 2
In => 2, 3, 8, 8; Out => ( 2 * 8 - 8 ) * 3
In => 2, 3, 8, 9; Out => ( 9 - 2 * 3 ) * 8
In => 2, 3, 9, 9; Out => 2 * 3 + 9 + 9
In => 2, 4, 4, 4; Out => 2 * 4 + 4 * 4
In => 2, 4, 4, 5; Out => ( 2 * 5 - 4 ) * 4
In => 2, 4, 4, 6; Out => 2 + 4 * 4 + 6
In => 2, 4, 4, 7; Out => 2 * 4 * ( 7 - 4 )
In => 2, 4, 4, 8; Out => 2 * 4 * 4 - 8
In => 2, 4, 4, 9; Out => ( 9 - 2 ) * 4 - 4
In => 2, 4, 5, 5; Out => 4 + 2 * ( 5 + 5 )
In => 2, 4, 5, 6; Out => 4 * 5 + 6 - 2
In => 2, 4, 5, 7; Out => 4 / 2 * ( 5 + 7 )
In => 2, 4, 5, 8; Out => 4 + 5 * 8 / 2
In => 2, 4, 5, 9; Out => ( 2 - 5 + 9 ) * 4
In => 2, 4, 6, 6; Out => ( 2 - 4 + 6 ) * 6
In => 2, 4, 6, 7; Out => 2 + 4 * 7 - 6
In => 2, 4, 6, 8; Out => 2 / 4 * 6 * 8
In => 2, 4, 6, 9; Out => 4 * 9 - 2 * 6
In => 2, 4, 7, 7; Out => ( 7 + 7 ) * 2 - 4
In => 2, 4, 7, 8; Out => 4 * 7 - 8 / 2
In => 2, 4, 7, 9; Out => 2 * 4 + 7 + 9
In => 2, 4, 8, 8; Out => 2 * 4 + 8 + 8
In => 2, 4, 8, 9; Out => ( 9 - 2 - 4 ) * 8
In => 2, 4, 9, 9; Out => 2 + 4 + 9 + 9
In => 2, 5, 5, 5; Out =>
In => 2, 5, 5, 6; Out =>
In => 2, 5, 5, 7; Out => 2 * 7 + 5 + 5
In => 2, 5, 5, 8; Out => ( 2 + 5 / 5 ) * 8
In => 2, 5, 5, 9; Out => 2 * 5 + 5 + 9
In => 2, 5, 6, 6; Out => ( 2 * 5 - 6 ) * 6
In => 2, 5, 6, 7; Out => 2 * 6 + 7 + 5
In => 2, 5, 6, 8; Out => 2 + 5 * 6 - 8
In => 2, 5, 6, 9; Out => 5 * 6 / 2 + 9
In => 2, 5, 7, 7; Out => 2 * 5 + 7 + 7
In => 2, 5, 7, 8; Out => ( 2 * 5 - 7 ) * 8
In => 2, 5, 7, 9; Out => 5 * 7 - 9 - 2
In => 2, 5, 8, 8; Out => 5 * 8 - 8 * 2
In => 2, 5, 8, 9; Out => 2 + 5 + 8 + 9
In => 2, 5, 9, 9; Out =>
In => 2, 6, 6, 6; Out => 2 * 6 + 6 + 6
In => 2, 6, 6, 7; Out => ( 6 + 6 * 7 ) / 2
In => 2, 6, 6, 8; Out => ( 2 + 6 / 6 ) * 8
In => 2, 6, 6, 9; Out => ( 6 * 9 - 6 ) / 2
In => 2, 6, 7, 7; Out =>
In => 2, 6, 7, 8; Out => ( 2 - 6 + 7 ) * 8
In => 2, 6, 7, 9; Out => 2 + 6 + 7 + 9
In => 2, 6, 8, 8; Out => 2 + 6 + 8 + 8
In => 2, 6, 8, 9; Out => 2 / 6 * 8 * 9
In => 2, 6, 9, 9; Out => ( 2 + 6 / 9 ) * 9
In => 2, 7, 7, 7; Out =>
In => 2, 7, 7, 8; Out => 2 + 7 + 7 + 8
In => 2, 7, 7, 9; Out =>
In => 2, 7, 8, 8; Out => ( 2 - 7 + 8 ) * 8
In => 2, 7, 8, 9; Out => ( 7 + 9 ) * 2 - 8
In => 2, 7, 9, 9; Out =>
In => 2, 8, 8, 8; Out => 8 * 8 / 2 - 8
In => 2, 8, 8, 9; Out => ( 2 - 8 + 9 ) * 8
In => 2, 8, 9, 9; Out => 8 + 9 + 9 - 2
In => 2, 9, 9, 9; Out =>
In => 3, 3, 3, 3; Out => 3 * 3 * 3 - 3
In => 3, 3, 3, 4; Out => ( 3 * 3 - 3 ) * 4
In => 3, 3, 3, 5; Out => 3 * 3 + 3 * 5
In => 3, 3, 3, 6; Out => 3 + 3 + 3 * 6
In => 3, 3, 3, 7; Out => ( 3 / 3 + 7 ) * 3
In => 3, 3, 3, 8; Out => 3 - 3 + 3 * 8
In => 3, 3, 3, 9; Out => ( 9 - 3 / 3 ) * 3
In => 3, 3, 4, 4; Out => 3 * 4 + 4 * 3
In => 3, 3, 4, 5; Out => ( 3 / 3 + 5 ) * 4
In => 3, 3, 4, 6; Out => 3 - 3 + 4 * 6
In => 3, 3, 4, 7; Out => ( 4 + 7 - 3 ) * 3
In => 3, 3, 4, 8; Out => ( 4 - 3 / 3 ) * 8
In => 3, 3, 4, 9; Out => 3 + 3 * 4 + 9
In => 3, 3, 5, 5; Out => 5 * 5 - 3 / 3
In => 3, 3, 5, 6; Out => 3 + 3 * 5 + 6
In => 3, 3, 5, 7; Out => ( 3 * 5 - 7 ) * 3
In => 3, 3, 5, 8; Out =>
In => 3, 3, 5, 9; Out => ( 5 + 9 / 3 ) * 3
In => 3, 3, 6, 6; Out => ( 6 + 6 / 3 ) * 3
In => 3, 3, 6, 7; Out => 3 * 7 - 3 + 6
In => 3, 3, 6, 8; Out => ( 3 * 3 - 6 ) * 8
In => 3, 3, 6, 9; Out => 3 * 3 + 6 + 9
In => 3, 3, 7, 7; Out => ( 3 + 3 / 7 ) * 7
In => 3, 3, 7, 8; Out => 3 * 3 + 7 + 8
In => 3, 3, 7, 9; Out => 3 + 7 * 9 / 3
In => 3, 3, 8, 8; Out => 8 / ( 3 - 8 / 3 )
In => 3, 3, 8, 9; Out => ( 9 - 3 - 3 ) * 8
In => 3, 3, 9, 9; Out => 3 + 3 + 9 + 9
In => 3, 4, 4, 4; Out => ( 3 + 4 ) * 4 - 4
In => 3, 4, 4, 5; Out => 3 + 4 * 4 + 5
In => 3, 4, 4, 6; Out => ( 3 + 4 / 4 ) * 6
In => 3, 4, 4, 7; Out => ( 3 - 4 + 7 ) * 4
In => 3, 4, 4, 8; Out => 3 / 4 * 4 * 8
In => 3, 4, 4, 9; Out => 4 * 9 - 3 * 4
In => 3, 4, 5, 5; Out => 3 - 4 + 5 * 5
In => 3, 4, 5, 6; Out => ( 3 - 4 + 5 ) * 6
In => 3, 4, 5, 7; Out => 3 * 4 + 5 + 7
In => 3, 4, 5, 8; Out => 4 * 8 - 3 - 5
In => 3, 4, 5, 9; Out => ( 3 * 5 - 9 ) * 4
In => 3, 4, 6, 6; Out => 3 * 4 + 6 + 6
In => 3, 4, 6, 7; Out =>
In => 3, 4, 6, 8; Out => ( 3 * 4 - 8 ) * 6
In => 3, 4, 6, 9; Out => ( 3 - 6 + 9 ) * 4
In => 3, 4, 7, 7; Out => 3 + 4 * 7 - 7
In => 3, 4, 7, 8; Out => 8 - 4 * ( 3 - 7 )
In => 3, 4, 7, 9; Out => 3 * 9 + 4 - 7
In => 3, 4, 8, 8; Out =>
In => 3, 4, 8, 9; Out => 3 + 4 + 8 + 9
In => 3, 4, 9, 9; Out => 4 * 9 - 9 - 3
In => 3, 5, 5, 5; Out =>
In => 3, 5, 5, 6; Out => ( 3 + 5 / 5 ) * 6
In => 3, 5, 5, 7; Out => ( 5 / 5 + 7 ) * 3
In => 3, 5, 5, 8; Out => 3 / 5 * 5 * 8
In => 3, 5, 5, 9; Out => ( 3 + 9 / 5 ) * 5
In => 3, 5, 6, 6; Out => ( 3 - 5 + 6 ) * 6
In => 3, 5, 6, 7; Out => ( 6 + 7 - 5 ) * 3
In => 3, 5, 6, 8; Out => ( 5 - 6 / 3 ) * 8
In => 3, 5, 6, 9; Out => 3 + 5 * 6 - 9
In => 3, 5, 7, 7; Out =>
In => 3, 5, 7, 8; Out => 3 * 7 + 8 - 5
In => 3, 5, 7, 9; Out => 3 + 5 + 7 + 9
In => 3, 5, 8, 8; Out => 3 + 5 + 8 + 8
In => 3, 5, 8, 9; Out => 3 * 9 + 5 - 8
In => 3, 5, 9, 9; Out => 5 * 9 / 3 + 9
In => 3, 6, 6, 6; Out => ( 3 + 6 / 6 ) * 6
In => 3, 6, 6, 7; Out => 6 * 7 - 3 * 6
In => 3, 6, 6, 8; Out => 3 / 6 * 6 * 8
In => 3, 6, 6, 9; Out => 3 + 6 + 6 + 9
In => 3, 6, 7, 7; Out => ( 3 + 7 / 7 ) * 6
In => 3, 6, 7, 8; Out => 3 + 6 + 7 + 8
In => 3, 6, 7, 9; Out => 3 * 7 + 9 - 6
In => 3, 6, 8, 8; Out => 6 * 8 - 8 * 3
In => 3, 6, 8, 9; Out => ( 3 - 8 + 9 ) * 6
In => 3, 6, 9, 9; Out => 3 * 9 - 9 + 6
In => 3, 7, 7, 7; Out => 3 + 7 + 7 + 7
In => 3, 7, 7, 8; Out => 3 / 7 * 7 * 8
In => 3, 7, 7, 9; Out => ( 9 - 7 / 7 ) * 3
In => 3, 7, 8, 8; Out => ( 7 + 8 / 8 ) * 3
In => 3, 7, 8, 9; Out => ( 7 - 8 + 9 ) * 3
In => 3, 7, 9, 9; Out => ( 7 + 9 / 9 ) * 3
In => 3, 8, 8, 8; Out => 3 / 8 * 8 * 8
In => 3, 8, 8, 9; Out => ( 9 - 8 / 8 ) * 3
In => 3, 8, 9, 9; Out => 3 * 8 + 9 - 9
In => 3, 9, 9, 9; Out => 9 + 9 + 9 - 3
In => 4, 4, 4, 4; Out => 4 + 4 + 4 * 4
In => 4, 4, 4, 5; Out => ( 4 / 4 + 5 ) * 4
In => 4, 4, 4, 6; Out => 4 - 4 + 4 * 6
In => 4, 4, 4, 7; Out => ( 7 - 4 / 4 ) * 4
In => 4, 4, 4, 8; Out => 4 * 8 - 4 - 4
In => 4, 4, 4, 9; Out => 4 - 4 * ( 4 - 9 )
In => 4, 4, 5, 5; Out => 5 * 5 - 4 / 4
In => 4, 4, 5, 6; Out => ( 5 - 4 / 4 ) * 6
In => 4, 4, 5, 7; Out => ( 4 - 5 + 7 ) * 4
In => 4, 4, 5, 8; Out => 4 * 5 + 8 - 4
In => 4, 4, 5, 9; Out =>
In => 4, 4, 6, 6; Out =>
In => 4, 4, 6, 7; Out =>
In => 4, 4, 6, 8; Out => ( 4 - 6 + 8 ) * 4
In => 4, 4, 6, 9; Out => 4 * 4 / 6 * 9
In => 4, 4, 7, 7; Out => ( 4 - 4 / 7 ) * 7
In => 4, 4, 7, 8; Out => 4 + 4 * 7 - 8
In => 4, 4, 7, 9; Out => 4 + 4 + 7 + 9
In => 4, 4, 8, 8; Out => 4 + 4 + 8 + 8
In => 4, 4, 8, 9; Out => 4 * 9 - 4 - 8
In => 4, 4, 9, 9; Out =>
In => 4, 5, 5, 5; Out => 4 + 5 * 5 - 5
In => 4, 5, 5, 6; Out => 4 / 5 * 5 * 6
In => 4, 5, 5, 7; Out => ( 7 - 5 / 5 ) * 4
In => 4, 5, 5, 8; Out => ( 4 - 5 / 5 ) * 8
In => 4, 5, 5, 9; Out => 4 * 5 - 5 + 9
In => 4, 5, 6, 6; Out => ( 5 + 6 / 6 ) * 4
In => 4, 5, 6, 7; Out => ( 5 - 6 + 7 ) * 4
In => 4, 5, 6, 8; Out => ( 4 + 5 - 6 ) * 8
In => 4, 5, 6, 9; Out => 4 + 5 + 6 + 9
In => 4, 5, 7, 7; Out => 5 * 7 - 7 - 4
In => 4, 5, 7, 8; Out => 4 + 5 + 7 + 8
In => 4, 5, 7, 9; Out => 4 * 7 - 9 + 5
In => 4, 5, 8, 8; Out => ( 5 + 8 / 8 ) * 4
In => 4, 5, 8, 9; Out => ( 5 - 8 + 9 ) * 4
In => 4, 5, 9, 9; Out => ( 5 + 9 / 9 ) * 4
In => 4, 6, 6, 6; Out => 4 / 6 * 6 * 6
In => 4, 6, 6, 7; Out => ( 7 - 6 / 6 ) * 4
In => 4, 6, 6, 8; Out => 4 + 6 + 6 + 8
In => 4, 6, 6, 9; Out => 4 * 9 - 6 - 6
In => 4, 6, 7, 7; Out => 4 + 6 + 7 + 7
In => 4, 6, 7, 8; Out => ( 4 + 6 - 7 ) * 8
In => 4, 6, 7, 9; Out => 6 / 4 * ( 7 + 9 )
In => 4, 6, 8, 8; Out => 4 * 6 + 8 - 8
In => 4, 6, 8, 9; Out => 6 + 8 * 9 / 4
In => 4, 6, 9, 9; Out => 4 * 6 + 9 - 9
In => 4, 7, 7, 7; Out => ( 7 - 7 / 7 ) * 4
In => 4, 7, 7, 8; Out => ( 4 - 7 / 7 ) * 8
In => 4, 7, 7, 9; Out =>
In => 4, 7, 8, 8; Out => 7 * 8 - 8 * 4
In => 4, 7, 8, 9; Out => ( 7 + 8 - 9 ) * 4
In => 4, 7, 9, 9; Out => ( 7 - 9 / 9 ) * 4
In => 4, 8, 8, 8; Out => 8 + 8 * 8 / 4
In => 4, 8, 8, 9; Out => ( 4 + 8 - 9 ) * 8
In => 4, 8, 9, 9; Out => ( 4 - 9 / 9 ) * 8
In => 4, 9, 9, 9; Out =>
In => 5, 5, 5, 5; Out => 5 * 5 - 5 / 5
In => 5, 5, 5, 6; Out => 5 + 5 * 5 - 6
In => 5, 5, 5, 7; Out =>
In => 5, 5, 5, 8; Out =>
In => 5, 5, 5, 9; Out => 5 + 5 + 5 + 9
In => 5, 5, 6, 6; Out => 5 * 5 - 6 / 6
In => 5, 5, 6, 7; Out => 5 * 5 + 6 - 7
In => 5, 5, 6, 8; Out => 5 + 5 + 6 + 8
In => 5, 5, 6, 9; Out =>
In => 5, 5, 7, 7; Out => 5 + 5 + 7 + 7
In => 5, 5, 7, 8; Out => 5 * 5 + 7 - 8
In => 5, 5, 7, 9; Out =>
In => 5, 5, 8, 8; Out => 5 * 5 - 8 / 8
In => 5, 5, 8, 9; Out => 5 * 5 + 8 - 9
In => 5, 5, 9, 9; Out => 5 * 5 - 9 / 9
In => 5, 6, 6, 6; Out => ( 5 - 6 / 6 ) * 6
In => 5, 6, 6, 7; Out => 5 + 6 + 6 + 7
In => 5, 6, 6, 8; Out => 6 + 6 * ( 8 - 5 )
In => 5, 6, 6, 9; Out => 6 * 9 - 5 * 6
In => 5, 6, 7, 7; Out => ( 5 - 7 / 7 ) * 6
In => 5, 6, 7, 8; Out => ( 5 + 7 - 8 ) * 6
In => 5, 6, 7, 9; Out => 6 - 9 * ( 5 - 7 )
In => 5, 6, 8, 8; Out => ( 5 + 6 - 8 ) * 8
In => 5, 6, 8, 9; Out => ( 5 + 8 - 9 ) * 6
In => 5, 6, 9, 9; Out => ( 5 - 9 / 9 ) * 6
In => 5, 7, 7, 7; Out =>
In => 5, 7, 7, 8; Out =>
In => 5, 7, 7, 9; Out => ( 5 + 7 ) * ( 9 - 7 )
In => 5, 7, 8, 8; Out => 8 - 8 * ( 5 - 7 )
In => 5, 7, 8, 9; Out => 5 * 8 - 9 - 7
In => 5, 7, 9, 9; Out =>
In => 5, 8, 8, 8; Out => 5 * 8 - 8 - 8
In => 5, 8, 8, 9; Out => 8 * 9 / ( 8 - 5 )
In => 5, 8, 9, 9; Out =>
In => 5, 9, 9, 9; Out =>
In => 6, 6, 6, 6; Out => 6 + 6 + 6 + 6
In => 6, 6, 6, 7; Out =>
In => 6, 6, 6, 8; Out => ( 6 + 6 - 8 ) * 6
In => 6, 6, 6, 9; Out => 6 * 6 * 6 / 9
In => 6, 6, 7, 7; Out =>
In => 6, 6, 7, 8; Out =>
In => 6, 6, 7, 9; Out => ( 6 + 7 - 9 ) * 6
In => 6, 6, 8, 8; Out => 6 * 8 / ( 8 - 6 )
In => 6, 6, 8, 9; Out => ( 6 + 6 - 9 ) * 8
In => 6, 6, 9, 9; Out =>
In => 6, 7, 7, 7; Out =>
In => 6, 7, 7, 8; Out =>
In => 6, 7, 7, 9; Out =>
In => 6, 7, 8, 8; Out =>
In => 6, 7, 8, 9; Out => 6 * 8 / ( 9 - 7 )
In => 6, 7, 9, 9; Out => 6 * 7 - 9 - 9
In => 6, 8, 8, 8; Out => 8 + 8 * ( 8 - 6 )
In => 6, 8, 8, 9; Out => 8 * 9 - 6 * 8
In => 6, 8, 9, 9; Out => 8 * 9 / ( 9 - 6 )
In => 6, 9, 9, 9; Out =>
In => 7, 7, 7, 7; Out =>
In => 7, 7, 7, 8; Out =>
In => 7, 7, 7, 9; Out =>
In => 7, 7, 8, 8; Out =>
In => 7, 7, 8, 9; Out =>
In => 7, 7, 9, 9; Out =>
In => 7, 8, 8, 8; Out =>
In => 7, 8, 8, 9; Out => 8 + 8 * ( 9 - 7 )
In => 7, 8, 9, 9; Out =>
In => 7, 9, 9, 9; Out =>
In => 8, 8, 8, 8; Out =>
In => 8, 8, 8, 9; Out =>
In => 8, 8, 9, 9; Out =>
In => 8, 9, 9, 9; Out =>
In => 9, 9, 9, 9; Out =>
[ 25. September 2002, 00:48: Message edited by: Jack Lothian ]
_________________________
Jack
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